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Finding the Fourth Proportional to 97,859.88, 146,804.40 and 31,294.08

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Solution

The fourth proportional to 97,859.88, 146,804.40 and 31,294.08 is: 46,945.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,859.88 : 146,804.40 = 31,294.08 : x
  2. Step 2: Convert to fraction form
    97,859.88/146,804.40 = 31,294.08/x
  3. Step 3: Cross multiply
    97,859.88x = 146,804.40 × 31,294.08
  4. Step 4: Simplify right side
    97,859.88x = 4,594,108,637.95
  5. Step 5: Solve for x
    x = 4,594,108,637.95/97,859.88
  6. Step 6: Final answer
    x = 46,945.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.